Search a number
-
+
2368144016 = 247149141907
BaseRepresentation
bin1000110100100111…
…0000001010010000
320010001002011212122
42031021300022100
514322221102031
61030553313412
7112453614650
oct21511601220
96101064778
102368144016
111005834717
12561105868
132b9813c64
1418672a360
15dcd8247b
hex8d270290

2368144016 has 40 divisors (see below), whose sum is σ = 5278977600. Its totient is φ = 1008100224.

The previous prime is 2368144007. The next prime is 2368144019. The reversal of 2368144016 is 6104418632.

It is not an unprimeable number, because it can be changed into a prime (2368144019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54266 + ... + 87641.

It is an arithmetic number, because the mean of its divisors is an integer number (131974440).

Almost surely, 22368144016 is an apocalyptic number.

It is an amenable number.

2368144016 is an abundant number, since it is smaller than the sum of its proper divisors (2910833584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2368144016 is a wasteful number, since it uses less digits than its factorization.

2368144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142071 (or 142065 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2368144016 is about 48663.5799751724. The cubic root of 2368144016 is about 1332.9157611276.

The spelling of 2368144016 in words is "two billion, three hundred sixty-eight million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 8344 16688 141907 283814 567628 993349 1135256 1986698 2270512 3973396 7946792 15893584 21144143 42288286 84576572 148009001 169153144 296018002 338306288 592036004 1184072008 2368144016